TSTP Solution File: LCL022-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 13:51:30 EDT 2022
% Result : Unsatisfiable 7.87s 8.07s
% Output : Refutation 7.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(yql,axiom,
is_a_theorem(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X5),equivalent(X4,X6)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X7,X8))
| is_a_theorem(equivalent(equivalent(X9,X8),equivalent(X7,X9))) ),
inference(resolution,status(thm),[yql,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X10,equivalent(equivalent(X13,X12),equivalent(X11,X13))),equivalent(equivalent(X11,X12),X10))),
inference(resolution,status(thm),[c0,yql]) ).
cnf(c3,plain,
( ~ is_a_theorem(equivalent(X19,equivalent(equivalent(X20,X22),equivalent(X21,X20))))
| is_a_theorem(equivalent(equivalent(X21,X22),X19)) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c8,plain,
is_a_theorem(equivalent(equivalent(X23,X24),equivalent(X23,X24))),
inference(resolution,status(thm),[c3,yql]) ).
cnf(c9,plain,
is_a_theorem(equivalent(equivalent(X27,equivalent(X28,X29)),equivalent(equivalent(X28,X29),X27))),
inference(resolution,status(thm),[c8,c0]) ).
cnf(c13,plain,
is_a_theorem(equivalent(equivalent(X41,X39),equivalent(equivalent(X41,X40),equivalent(X40,X39)))),
inference(resolution,status(thm),[c9,c3]) ).
cnf(c19,plain,
is_a_theorem(equivalent(equivalent(X43,X43),equivalent(X42,X42))),
inference(resolution,status(thm),[c13,c3]) ).
cnf(c23,plain,
( ~ is_a_theorem(equivalent(X47,X47))
| is_a_theorem(equivalent(X46,X46)) ),
inference(resolution,status(thm),[c19,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(equivalent(X48,X48)),
inference(resolution,status(thm),[c23,c8]) ).
cnf(c27,plain,
is_a_theorem(equivalent(equivalent(X57,X58),equivalent(X58,X57))),
inference(resolution,status(thm),[c24,c0]) ).
cnf(c38,plain,
is_a_theorem(equivalent(equivalent(X89,equivalent(X91,X90)),equivalent(equivalent(X90,X91),X89))),
inference(resolution,status(thm),[c27,c0]) ).
cnf(c77,plain,
is_a_theorem(equivalent(equivalent(X158,X156),equivalent(equivalent(X158,X157),equivalent(X156,X157)))),
inference(resolution,status(thm),[c38,c3]) ).
cnf(c40,plain,
( ~ is_a_theorem(equivalent(X59,X60))
| is_a_theorem(equivalent(X60,X59)) ),
inference(resolution,status(thm),[c27,condensed_detachment]) ).
cnf(c44,plain,
is_a_theorem(equivalent(equivalent(equivalent(X99,X101),equivalent(X101,X100)),equivalent(X99,X100))),
inference(resolution,status(thm),[c40,c13]) ).
cnf(c84,plain,
( ~ is_a_theorem(equivalent(equivalent(X179,X181),equivalent(X181,X180)))
| is_a_theorem(equivalent(X179,X180)) ),
inference(resolution,status(thm),[c44,condensed_detachment]) ).
cnf(c213,plain,
is_a_theorem(equivalent(X201,equivalent(equivalent(X201,X200),X200))),
inference(resolution,status(thm),[c84,c77]) ).
cnf(c251,plain,
( ~ is_a_theorem(X229)
| is_a_theorem(equivalent(equivalent(X229,X230),X230)) ),
inference(resolution,status(thm),[c213,condensed_detachment]) ).
cnf(c312,plain,
is_a_theorem(equivalent(equivalent(equivalent(X291,X291),X292),X292)),
inference(resolution,status(thm),[c251,c24]) ).
cnf(c496,plain,
( ~ is_a_theorem(equivalent(equivalent(X400,X400),X399))
| is_a_theorem(X399) ),
inference(resolution,status(thm),[c312,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X15,equivalent(equivalent(X17,X18),X16)),equivalent(equivalent(X16,equivalent(equivalent(X14,X18),equivalent(X17,X14))),X15))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(equivalent(X50,equivalent(equivalent(X53,X49),X51)))
| is_a_theorem(equivalent(equivalent(X51,equivalent(equivalent(X52,X49),equivalent(X53,X52))),X50)) ),
inference(resolution,status(thm),[c2,condensed_detachment]) ).
cnf(c79,plain,
is_a_theorem(equivalent(equivalent(X583,equivalent(equivalent(X581,X582),equivalent(X584,X581))),equivalent(X583,equivalent(X582,X584)))),
inference(resolution,status(thm),[c38,c5]) ).
cnf(c1189,plain,
is_a_theorem(equivalent(equivalent(equivalent(X3889,X3890),equivalent(X3891,X3889)),equivalent(X3890,X3891))),
inference(resolution,status(thm),[c79,c496]) ).
cnf(c11939,plain,
$false,
inference(resolution,status(thm),[c1189,prove_ec_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 15:33:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.87/8.07 # Version: 1.3
% 7.87/8.07 # SZS status Unsatisfiable
% 7.87/8.07 # SZS output start CNFRefutation
% See solution above
% 7.87/8.07
% 7.87/8.07 # Initial clauses : 3
% 7.87/8.07 # Processed clauses : 415
% 7.87/8.07 # Factors computed : 0
% 7.87/8.07 # Resolvents computed: 11970
% 7.87/8.07 # Tautologies deleted: 2
% 7.87/8.07 # Forward subsumed : 1122
% 7.87/8.07 # Backward subsumed : 7
% 7.87/8.07 # -------- CPU Time ---------
% 7.87/8.07 # User time : 7.688 s
% 7.87/8.07 # System time : 0.036 s
% 7.87/8.07 # Total time : 7.724 s
%------------------------------------------------------------------------------